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Finding the Third Proportional to 298,772 and 643,624

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Solution

The third proportional to 298,772 and 643,624 is: 1,386,514.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,772 : 643,624 = 643,624 : x
  2. Step 2: Convert to fraction form
    298,772/643,624 = 643,624/x
  3. Step 3: Cross multiply
    298,772x = 643,624 × 643,624
  4. Step 4: Simplify right side
    298,772x = 414,251,853,376
  5. Step 5: Solve for x
    x = 414,251,853,376/298,772
  6. Step 6: Final answer
    x = 1,386,514.98

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.